Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = [tex]\sqrt{l^{2} + w^{2} + h^{2} }[/tex]
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal = [tex]\sqrt{8^{2} + 3^{2} + 4^{2} }[/tex] = 9.4inches
The diagonal of the box is 9.4inches
-10m+21=111 solve for m
Answer:
ans is 11-21/10 sry I don't have calculator
Maya has a smart phone data plan that costs $50 per month that includes 2 GB of dat, but will charge extra $15 per GB over the included amount. How much would Maya have to pay in a month where she used 3 GB over a limit? How much would maya have to pay in a month where she used over by x GB?
Answer:
a. $65
b. $(50 + 15x)
Step-by-step explanation:
A. From the question, we are told that the first 2 GB of data costs $50 while the subsequent extra GB cost $15 per GB
so for 3 GB, the normal $50 is charged for the first 2 GB while an extra $15 is charged for the extra 1 GB
so, the total amount charged for 3 GB will be $50 + $15 = $65
B. Amount to be paid in a month where x GB is used over the normal
Firstly, she will pay the $50 , then for the extra she will be paying $15 * x = $15x
So the amount to be paid will be;
$50 + $15x = $(50 + 15x)
Need help will def give Brainlyest
A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches.
Which equation models this?
Answer:
8x=96 inch
Step-by-step explanation:
How its in the draw you have this situation then the equation that model is the next one:
2*(3X) + 2*X = 96 inch
6X + 2X = 96 inch
8X=96 inch
We must multiply due that there is two sides that measure the same.
The equation which models this situation is,
⇒ 96 = 2 ((3 + 2x) + x)
or ⇒ 96 = 2 (3 + 3x)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
A rectangle has a length that is 3 more than twice the width.
And, Its perimeter is 96 inches.
Let the width of rectangle = x
So, The length of rectangle = 3 + 2x
Now, We know that;
⇒ Perimeter of rectangle = 2 (Length + Width)
Substitute all the values, we get;
⇒ Perimeter of rectangle = 2 (Length + Width)
⇒ 96 = 2 ((3 + 2x) + x)
⇒ 96 = 2 (3 + 3x)
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order from least to greatest
* I will give you brainiest*
4/7
0.7
72%
5/8
Answer:
Least to greatest:
4/7, 5/8, 0.7, 72%
Step-by-step explanation:
4/7 in decimal form is 0.571
5/8 in decimal form is 0.625
Which equation represents the line that passes through the points (–4, 3) and (2, –12)?
–9x + 2y = 42
x + 2y = 2
5x + 2y = –14
2x + 5y = 7
Answer:
5x + 2y = –14
Step-by-step explanation:
Graph the points and find the equation from there.
Answer:
the answer is 5x + 2y = –14 their right
Step-by-step explanation:
which of the following answer choices is a solution to
a²=16
a. a=8
b. a=-8
c. a=16
d. a=-4
Answer: a=-4
Step-by-step explanation:
A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?
Answer:
1 kilometer east
Step-by-step explanation:
if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east
The displacement from his starting point at home is 1 km.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
A man drives 3 km east from home to the store and then 2 km west to a friend’s house.
The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.
The displacement from his starting point at home is calculated as,
Displacement = 3 - 2
Displacement = 1
The displacement from his starting point at home is 1 km.
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Change from inches to feet
48 inches=_____ feet
Answer:
4 feet
Step-by-step explanation:
hi by the way.........
Answer:
4 feet
Step-by-step explanation:
There are 12 inches in 1 feet
48in/12 = 4 ft
Is the data set “names of the players on the golf team” quantitative or qualitative? If it is quantitative, is it discrete or continuous?
Specifically this is nominal data because we're dealing with names. Names aren't numeric so we can't do things like add them, subtract, multiply, divide, do averages, etc.
Answer:
A. Qualitative
Step-by-step explanation:
correct on EDGE2021
10 – 7x = 2 - 8x help :)
Translate the sentence into an equation.
Seven times the sum of a number and 8 is 6.
Use the variable y for the unknown number.
Answer:
the answer is 7(y+8)=6 :)
Amar cycles at a speed of 18km/h.
It takes him 55 minutes to cycle between two villages.
Calculate the distance between the two villages
Answer:
The distance between the two villages is 16.5 Km
Step-by-step explanation:
Constant Speed Motion
It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.
If v is the constant speed, the object travels a distance x in a time t, given by the equation:
x=vt
Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.
Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.
t=55 min = 55/60 hours
For the sake of precision, we won't operate the division so far. Compute the distance:
x=18 *55/60=16.5 Km
The distance between the two villages is 16.5 Km
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Answer:
20
Step-by-step explanation:
360÷18=20
thus ,the polygon have 20 sides
Answer:
20
Step-by-step explanation:
Do Dilation's always increase the length of line segments?
true or false
i'm marking someone brainliest with the right answer?
Answer:
true
Step-by-step explanation:
I'm pretty sure it's trur
i need help with this 1.5r – 3r + 8r + 2.5r i don't get it
Answer:
9r
Step-by-step explanation:
1.5r+2.5r-3r+8r
4r-3r+8r
r+8r = 9r
Olivia needs 54 licks for every 3 lollipops she eats.
Complete the table using equivalent ratios.
Answer:
sorry...
Step-by-step explanation:
lol
Pls help question is below.
Answer:
where is the question
Step-by-step explanation:
u do not have a question so there us nothing to answer
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?
Answer:
2.5x10^-11
Step-by-step explanation:
7m2 + 3m + 4m2
What is the answer to this
Simplify the expression 82 + 9 (12: 3 x 2) – 7.
Explain each of your steps.
Answer:
129
Step-by-step explanation:
8^2 + 9 (12/3 x 2) -7 Parentheses first 12 : 3 is the same as 12/3
8^2 + 9 (4x2)-7 Parentheses:
8^2 + 9 (8) - 7 Exponent 8 x 8:
64 + 9(8) - 7 Multiply:
64 + 72- 7 Add :
136 - 7 Subtract:
129
The answer is 129.
Hope this helps :)
PLEASE HELP!
Match the angles on the left with their corresponding names on the right. Write the letter of the most appropiate answer beside each angle pair below.
Answer/Step-by-step explanation:
Museum and Worship center => alternate exterior angles (E)
Rationale: they are exterior angles positioned in opposite sides of the transversal
Bank and Day Care => Alternate Interior Angles (A)
Rationale: they are interior angles positioned opposite each other on each side of the transversal
Park and Coffee shop => vertical angles (D)
Rationale: They are angle pairs formed by the interception of two straight lines
Fire Station and Worship Center => linear pair (F)
Rationale: They are angles on a straight line
Community Center and Day Care => consecutive interior angles (B)
They are interior angles that lie in the same side of the transversal
Bank and Museum => Corresponding Angles (C)
Rationale: they have the same matching corners
solve
3c-5=2c+5
please naswer fast and I will give you 5 stars
Answer:
10
Step-by-step explanation:
3c - 5 =2c +5
3c - 2c =5 +5
c=10
please help urgent 8th grade math
Answer:
use your phone to scan the text on google
The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.
Answer:
3p +2c greater than 120. 120∠ 2c + 3p
Hope this helps.
An inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit is [tex]3p + 2c > 120[/tex].
Let the number of bags of popcorn sold be p.Let the number of cups of lemonade sold be c.Given the following data:
Price of a bag of popcorn = $3Price of a bag of lemonade = $2To write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit:
In order for the soccer team to make profit, the sum of the total cost of goods sold must be greater than $120.
Therefore, the mathematical expression is represented as follows:
[tex]3p + 2c > 120[/tex]
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how much higher is 500 then 400m
12 1 5 16 7 Diego, Kiran, Elena, and Mai were raising money for a school trip. • Diego raised $40.00. Kiran sold 2 times as much lemonade as Diego. • Elena sold as much lemonade as Diego. Mai sold as much lemonade as Diego. Write the names of the students in order of who raised the least amount of money to who raised the most amount of money: Write here Write here Write here Write here 1
Answer:
54
Step-by-step explanation:
In the polynomial shown in the graph below, are there any places that could be described as either a local minimum or local maximum? Neither? Both?
Answer:
Local Min and Local Max
Step-by-step explanation:
Since our end behavior of our graph is goes on to infinity and negative infinity, we know that we will not have an absolute min or max. However, we will have relative/local min and max.
The local min and max are mins and maxes relative to the surrounding points. We see that our local min would happen around x ≈ 0.75 and our local max will happen at x ≈ -1.9.
4.5 times what equals 5
Answer:
REEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
i thnk that the answer is .9333 !!
The 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.
To find the number that, when multiplied by 4.5, equals 5, we can set up an equation and solve for the unknown number.
Let's represent the unknown number as 'x':
4.5 * x = 5
To isolate 'x', we need to get rid of the coefficient 4.5. To do that, we'll divide both sides of the equation by 4.5:
x = 5 / 4.5
Now, perform the division:
x = 1.111...
The result is a repeating decimal, which means the number that satisfies the equation is 1.111... (with 1 repeating indefinitely).
To express the result more precisely, we can write it as a fraction:
x = 5 / 4.5 = 10 / 9
Therefore, 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.
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the mean mass of 6 boxes is 45kg. one of the boxes with a mass of 50kg is removed. calculate the new mean mass of the remaining boxes
Answer: 6 boxes. average 45 each.
Step-by-step explanation:
The mean of a dataset if the average of the dataset.
The new mean mass of the remaining boxes is 44 kg
From the question, we have:
[tex]\mathbf{\bar x = 45}[/tex] --- mean of 6 boxes
The mean of a dataset is:
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
So, we have:
[tex]\mathbf{45 = \frac{\sum x}{6}}[/tex]
Multiply by 6
[tex]\mathbf{45 \times 6= \sum x}[/tex]
[tex]\mathbf{\sum x = 270}[/tex]
One of the boxes is 50 kg.
So, the mass of the remaining boxes is:
[tex]\mathbf{Mass = 270 - 50}[/tex]
[tex]\mathbf{Mass = 220}[/tex]
The mean of the remaining boxes is:
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{220}{5}}[/tex]
[tex]\mathbf{\bar x = 44}[/tex]
Hence, the new mean mass of the remaining boxes is 44 kg
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